arXiv 1909.010422019-09math.AG

Kummer对数拓扑与经典拓扑的比较

Comparison of Kummer logarithmic topologies with classical topologies

Heer Zhao

备注：: Introduction has been rewritten. Theorem 1.8 has been slightly modified. The original Lemma 1.15 has been removed. The original Theorem 1.16 has been changed to Corollary 1.10. The original Theorem 1.24 (now Theorem 1.23) has been slightly modified. Errors and typos have been corrected. 30 pages. Accepted by J. Inst. Math. Jussieu. Might be slightly different from the journal version
DOI：: 10.1017/S1474748021000359

摘要：

我们比较库默尔单位（resp. Kummer etale）上同调与平坦（resp.在光滑交换群格式、有限平坦群格式和Kato的对数乘法群中，证明了带系数的上同调.我们将特别感兴趣的情况下，代数环面的库默尔平坦拓扑。我们还对基对数方案的某些特殊情况作了一些计算。

英文摘要：

We compare the Kummer flat (resp. Kummer etale) cohomology with the flat (resp. etale) cohomology with coefficients in smooth commutative group schemes, finite flat group schemes and the logarithmic multiplicative group of Kato. We will be particularly interested in the case of algebraic tori in the Kummer flat topology. We also make some computations for certain special cases of the base log scheme.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

摘要：

英文摘要：

相关论文